Name
Abstract | ||
|---|---|---|
We present Gerschgorin-type eigenvalue inclusion sets applicable to generalized eigenvalue problems. Our sets are defined by circles in the complex plane in the standard Euclidean metric, and are easier to compute than known similar results. As one application we use our results to provide a forward error analysis for a computed eigenvalue of a diagonalizable pencil. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1090/S0025-5718-2011-02482-8 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Gerschgorin's theorem,generalized eigenvalue problem,Euclidean metric,forward error analysis | Mathematical optimization,Diagonalizable matrix,Mathematical analysis,Eigenvalue algorithm,Euclidean distance,Complex plane,Eigendecomposition of a matrix,Divide-and-conquer eigenvalue algorithm,Eigenvalues and eigenvectors,Mathematics,Inverse iteration | Journal |
Volume | Issue | ISSN |
80 | 276 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuji Nakatsukasa | 1 | 97 | 17.74 |